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Q: Which postulate justifies the statement AX + XC = AC?

A: Given-  To find- The postulate which justifies the statement AX+XC=AC.

Q: Suppose a,b,c€Z. If a |b and a |c, then a|(b+c).

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Q: Vhich of the following are correct?

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Q: Give the contrapositive of "If all figures are four-sided planes, then figures are rectangles.”

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Q: Suppose an -6a, 1+ lan 2 - lan 3 and a4 34, as = -211, and as 1305. Find a1, a2, az. %3D %3D and

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Q: 1 - In which of the following sentences does "having 3 equal sides" appear as a sufficient but not…

A: Hello thank you for the question. According to our honor code can answer only one question at a…

Q: Negate each of the following statements. a) ∀x ∃y ∃z, q(x, y, z)] b) ∃y ∃x ∀z, p(x, y

A: Here we have to express the negation of the given statement:   The negation rule for the single…

Q: The rules for a football player receiving a yellow flag for pass interference are as follows: IF a…

A: Given the rules for a football player receiving a yellow flag for pass interference.

Q: Then slouw that E Alasf bea, Couly, seguene in D. is also Cauchy.

A: Here uniformly continuous is necessary condition. Here is proof.

Q: Which statement is true?

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Q: Which of the following statements is/are TRUE? 1. Sese u du - fsedu-Jau Ssed{u- Jau CSc u 2 II. [csc…

A: The objective is to state which of the following given statement is/are True. I. ∫cscu…

Q: Z Let AABC and ADEF have corresponding pairs of sides which are parallel. Say, AB || DE,BC || EF, AC…

A: given triangles are    △ABC  and   △DEF Also,       AB||DE,   BC||EF,   AC||DF yes it follows that…

Q: If P(A) = 0.45, P(B) = 0.41, and P(A or B) = 0.86, are A and B mutually exclusive? yes or no?

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Q: Which of the following statemens is equivalent to the statement Vq))?

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Q: a. Without tables, show that -(p v (-p ^g)) a nd -p ^-q are logically equivalent.

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Q: A homeowner doing some remodeling requires the services of both a plumbing contractorand an…

A: Given: There are 12 plumbing contractors and 9 electrical contractors available in the area. As 1…

Q: Which statements could be used to complete Mikayla's pr @ 4. 2.m TUS = 2 M4PUQ 5. m TUS = M4PUQ %3D…

A: here last option (D) is true.

Q: Suppose the statement, "if the pentagon is green, then the triangle is red," is true. Assume also…

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Q: r the statement ∀x∃!y (2x – 3y = 1). Is this true or false if the universe of discourse is x, y ∈…

A: Given,                  ∀x∃!y2x-3y=1

Q: find Meing Cayley Hamilton Theorem 2. 2 - 6 6 ゴ 37 14 3. 2. Hamilten Theomem. & AGo beify Caybey

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: you to If ZA ZD and ZC ZF, which additional statement does NOT allow conclude that AABC = ADEF?

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Q: 5. Negate each of the following statements: (a) 3x E X, Vy E Y, (x + y = 25) → (x – y = 10). (b) 3x…

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Q: ) If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the %3D ollowing: -1 a a) In b-4c! 5) In Vbºca¬T…

A: Answer (a):   lna-1b-4c1= ln(a-1) - ln ( b-4c1)                                            =ln(a-1)…

Q: - Determine the intercepts and symmetry of the following ne Tercepts and the tests f a. y = x²-4 ND…

A: Find the intercept and symmetry :    (a).    y = x2-4           x-intercept :   y=0…

Q: 8. Now it's your turn. Use the same logical approach to prove that the other pair of vertical…

A: Proof of vertical angle theorem.

Q: Which of the following statement is/are TRUE.

A: A polynomial can be defined as a function that has variables and coefficients in the form of . Here,…

Q: The rules for a football player receiving a yellow flag for pass interference are as follows:   IF…

A: The given rules for the player to receive a yellow card are as follows -  IF a defensive player…

Q: Let A={ 1,{1}, {2,3}}. Which of the following is NOT true?

A: Given,           A=1,1,2,3

Q: B X Y 2. D E F

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Q: Now that Coowe which ewreanser he feunelion Cooue which e whe aiser he fuuneli, Under the Condition…

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Q: If you exclude all the lines that are premises, how many lines does the shortest proof of the…

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Q: Deduce using known properties that the statement: [(p ∧ ∼q) v (p ∧ r)] ⇒ (q ∧ r) is the negation of:…

A: deduce using known properties that the statement [(p ∧ ~q) v (p ∧ r)] ⇒ (q ∧ r)is the negation of: ~…

Q: d which one is contradiction ->

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Q: If P (A) = 0.3, P(B) =0.6, and P (Aor B) =0.7 are A and B mutually exclusive?

A: Two events are said to be mutually exclusive when both can not occur simultaneously.  A and B are…

Q: Provided the follow While there are man

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Q: is this statement true?

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Q: 2. Given A'B'C. Iif P is a fourth point collinear with A, B, and C use Proposition (Given A' B cand…

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Q: Which of the following statements are correct if yi =2xi ∀i = 1, 2, ....., n? A. y = 2x B. y = 4x…

A: we have to find the right function

Q: Provide a counterexample to show that each statement is false. You may use words or a diagram. If ab…

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Q: A symbol exists for "parallel" as well as for "perpendicular." O True O False

A: The symbol of parallel is ∥ and perpendicular is ⊥.

Q: axayP(x, y) is true when P(x, y) is false for every pair x, y. A True В False

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Q: In (R, Tst), if b – a > 2, then U-1[a +, b – is not closed. Select one: True False

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Q: (a) Write the negation of the following statement without using ¬. (3x E Z)(Vy E Z)(3k € Z)(x +y =…

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Q: if AB CD Which statement could alwayvs be proven?

A: Given in triangle ABD AB = CD

Q: Which of the following statements is/are TRUE? 1. Sese u du - fsac{u- Jau I1. ſcsc u du = Infcsc u +…

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Q: Given : m<1= 60 2/1 Prove: mLz =120

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Q: If A and B are points in 3-space then |AB| = |BÁ| Select one: O True O False

A: If A and B are point in 3-space then